Respuesta :
Answer:
B = (3, 5)
Step-by-step explanation:
Point A is at (-7,5) and point C is at (5,-1). Find the coordinates of point B on AC such that AB is 5 times longer than BC. Then, B split AC in a 5:1 ratio.
rise = yC - yA = -1 - 5 = -6
run = xC - xA = 5 - (-7) = 12
c = 5/(5+1) = 5/6
B = (xA + c*run, yA + c*rise)
B = (-7 + 5/6*12, 5 + 5/6*-6)
B = (3, 5)
Answer: (3,0)
Step-by-step explanation: Point A is at (-7,5) and C is at (5-1). The horizontal displacement of AC is : 5-(-7)=12 If the horizontal displacement from A to C is 12 then horizontal displacement from A to B is 10. So point B is 10 units to the right of point A. The vertical displacement from A to C is -6, then the vertical displacement from A to B is -5. So point B is 5 units down from point A. Point A was at (-7,5) and point B is 10 units to the right and 5 units down from point A. B= (-7+10,5-5) = (3,0). The coordinates of B are (3,0).
